if cos inverse x is greater than sin inverse x then ?a)x is less than zerob)-1 is less than x is less than zeroc)0 is less than or equal to x is less than 1 bi under root 2d)-1is less than or equal to x is less than 1 bi under root 2

cos inverse x is greater than sin inverse x . first plot the graph of sin and cos and see from o to 45degree cos x is greater than sinx , so the apropriate answer would be c. 

hope you will understand , good luck

We can write sin^-1 x = pi/2 - cos^-1 x now put this in cos^-1 x is greater than sin^-1 x now cos^-1x - pi/2 + cos^-1x is greater than 0 , 2cos^-1x is greater than pi/2 , x is greater than cos pi/4 so x is greater than 1/√2 ,as cos^-1 value lies in -1 to 1 now x value lies in greater than 1/√2 to less than equal to 1